High-energy and ultrafast laser has been an ideal source for frontier physical issues, such as high harmonic generation, attosecond pulse generation, extreme ultraviolet optical frequency comb and electron acceleration. Due to the wide gain bandwidth, titanium-doped sapphire lasers can directly emit laser pulses of few periods. While due to the limitation of quantum efficiency, pumping power and thermal effect, the energy of laser pulse is limited. On the other hand, external pulse compression is also used to generate few-cycle laser pulse, by means of gas-filled multi-pass cell, gas-filled hollow-core fiber, and multiple solid plates. Laser pulse compression based on multiple thin solid plates is characterized by stable performance, high repeatability, and high cost performance. The nonlinear refractive index coefficient of solid medium is higher than that of gas medium. It is easier to generate nonlinear process in solid medium. The spectrum becomes much wider than the original spectrum, as a result of self-phase modulation effect. With efficient dispersion management and appropriate input laser beam size, high-energy laser pulses can be compressed through multiple thin solid plates. Research based on multiple thin solid plates aims mainly at titanium-doped sapphire laser, with shorter laser pulse (<100 fs) and lower energy (<10 mJ). For laser pulses with higher energy, a large-size beam is adopted to control the energy fluence on solid medium. High quantum efficiency and excellent thermal conductivity make the medium of ytterbium to generate high energy and high average power laser pulse. And the ytterbium doped laser is more compact and integrated than titanium-doped sapphire laser. The external pulse compression of high-energy ytterbium doped laser is a reliable scheme to generate high-energy and ultrashort pulses. Previous research about pulse compression of ytterbium doped laser by multiple thin solid plates is also based on low energy laser. In this paper, we demonstrate numerically the nonlinear pulse compression of the high-energy ytterbium doped laser, with an energy of 250 mJ and a wavelength of 1 030 nm, based on multiple thin solid plates. The influence of period and thickness of solid plates is also studied. The period and thickness of solid plates have a positive effect on the spectral broadening when the laser energy fluence is lower than the damage threshold of solid medium. By using appropriate solid plates, a femtosecond supercontinuum is generated with a bandwidth of 229 nm. And the pulse is compressed from 500 fs to 16.2 fs, with a high compression ratio of 30. Besides, we design a three stage pulse compressor to generate laser pulse with different pulse widths to meet the requirements of different applications, such as 51.3 fs, 26.6 fs, 16.2 fs. The simulation results are feasible for high-energy laser pulse compression.